# How do you graph and list the amplitude, period, phase shift for y=-2sin(-2x)?

Jun 19, 2018

As below.

#### Explanation:

$y = A \sin \left(B x - C\right) + D$

$y = - 2 \sin \left(- 2 x\right)$

$A = - 2 , B = - 2 , C = D = 0$

$A m p l i t u \mathrm{de} = | A | = | - 2 | = 2$

$\text{Period } = \frac{2 \pi}{|} B | = \frac{2 \pi}{|} - 2 | = \pi$

$\text{Phase Shift } = - \frac{C}{B} = 0$

$\text{Vertical Shift } = D = 0$